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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Criteria for metrisability


Authors: P. J. Collins and A. W. Roscoe
Journal: Proc. Amer. Math. Soc. 90 (1984), 631-640
MSC: Primary 54E35; Secondary 54E15
MathSciNet review: 733418
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Abstract: A simple condition on the local bases of a first countable space is shown to imply metrisability, and some new and some well-known metrisation theorems are deduced. Weakening the condition gives new classes of spaces distinct from the class of metrisable spaces.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0733418-9
Article copyright: © Copyright 1984 American Mathematical Society